AJ & BK built a standard analog clock directly onto the wall of their apartment. The height (above the floor) of the tip of the minute hand is a sinusoidal function. At 8:00pm, the tip of the minute hand is 7.4 feet above the floor. At 4:30am, the tip of the minute hand is 1.8 feet above the floor. [a]  Find an equation for the height of the tip of the minute hand t minutes after midnight. [b]  Find the height of the minute hand at 6:40pm.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 70E
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  1. AJ & BK built a standard analog clock directly onto the wall of their apartment. The height (above the floor) of the tip of the minute hand is a sinusoidal function. At 8:00pm, the tip of the minute hand is 7.4 feet above the floor. At 4:30am, the tip of the minute hand is 1.8 feet above the floor.

    1. [a]  Find an equation for the height of the tip of the minute hand t minutes after midnight.

      1. [b]  Find the height of the minute hand at 6:40pm.

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